What is the Least Common Multiple of 81375 and 81381?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 81375 and 81381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81375 and 81381, than apply into the LCM equation.

GCF(81375,81381) = 3
LCM(81375,81381) = ( 81375 × 81381) / 3
LCM(81375,81381) = 6622378875 / 3
LCM(81375,81381) = 2207459625

Least Common Multiple (LCM) of 81375 and 81381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81375 and 81381. First we will calculate the prime factors of 81375 and 81381.

Prime Factorization of 81375

Prime Factorization of 81381

Now multiplying the highest exponent prime factors to calculate the LCM of 81375 and 81381.

LCM(81375,81381) = 3¹ × 5³ × 7¹ × 31¹ × 27127¹
LCM(81375,81381) = 2207459625